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Finding the Fourth Proportional to 65,287.65, 97,940.19 and 25,835.54

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Solution

The fourth proportional to 65,287.65, 97,940.19 and 25,835.54 is: 38,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,287.65 : 97,940.19 = 25,835.54 : x
  2. Step 2: Convert to fraction form
    65,287.65/97,940.19 = 25,835.54/x
  3. Step 3: Cross multiply
    65,287.65x = 97,940.19 × 25,835.54
  4. Step 4: Simplify right side
    65,287.65x = 2,530,337,206.65
  5. Step 5: Solve for x
    x = 2,530,337,206.65/65,287.65
  6. Step 6: Final answer
    x = 38,756.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.